12396627360 has 288 divisors, whose sum is σ = 45723197520. Its totient is φ = 3040395264.

The previous prime is 12396627329. The next prime is 12396627389. The reversal of 12396627360 is 6372669321.

12396627360 is a `hidden beast` number, since 12 + 3 + 9 + 6 + 627 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2469294864 + 9927332496 = 49692^2 + 99636^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5933196 + ... + 5935284.

Almost surely, 2^12396627360 is an apocalyptic number.

12396627360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12396627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861598760).

12396627360 is an abundant number, since it is smaller than the sum of its proper divisors (33326570160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12396627360 is a wasteful number, since it uses less digits than its factorization.

12396627360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 12396627360 in words is "twelve billion, three hundred ninety-six million, six hundred twenty-seven thousand, three hundred sixty".